Study of the decay D+→K*(892)+KS0 in D+→K+KS0π0

Based on an $e^{+}e^{-}$ collision data sample corresponding to integrated luminosity of 2.93 $\mathrm{fb}^{-1}$ collected with the BESIII detector at $\sqrt{s}=3.773 \mathrm{GeV}$, first amplitude analysis singly Cabibbo-suppressed decay $D^{+}\to K^+ K_S^0 \pi^0$ is performed. From analysis, $K^*(892)^+ K_S^0$ component found be dominant a fraction $(57.1\pm2.6\pm4.2)\%$, where uncertainty statistical and second systematic. In combination absolute branching $\mathcal{B}(D^+\to \pi^0)$ measured by BESIII, we obtain K^*(892)^+ K_S^0)=(8.69\pm0.40\pm0.64\pm0.51)\times10^{-3}$, third due \pi^0)$. The precision this result significantly improved compared previous measurement.